| Copyright | (C) 2007-2011 Edward Kmett |
|---|---|
| License | BSD-style (see the file LICENSE) |
| Maintainer | Edward Kmett <ekmett@gmail.com> |
| Stability | provisional |
| Portability | portable |
| Safe Haskell | Safe |
| Language | Haskell98 |
Data.Semigroupoid
Description
A semigroupoid satisfies all of the requirements to be a Category except for the existence of identity arrows.
- class Semigroupoid c where
- o :: c j k -> c i j -> c i k
- newtype WrappedCategory k a b = WrapCategory {
- unwrapCategory :: k a b
- newtype Semi m a b = Semi {
- getSemi :: m
Documentation
class Semigroupoid c where Source
Instances
| Semigroupoid (->) | |
| Semigroupoid (,) | http://en.wikipedia.org/wiki/Band_(mathematics)#Rectangular_bands |
| Semigroupoid Op | |
| Bind m => Semigroupoid (Kleisli m) | |
| Extend w => Semigroupoid (Cokleisli w) | |
| Semigroup m => Semigroupoid (Semi m) | |
| Category * k => Semigroupoid (WrappedCategory k) | |
| Semigroupoid k => Semigroupoid (Dual k) | |
| Semigroupoid k => Semigroupoid (Iso k) | |
| Apply f => Semigroupoid (Static f) | |
| (Semigroupoid j, Semigroupoid k) => Semigroupoid (Product j k) | |
| (Semigroupoid j, Semigroupoid k) => Semigroupoid (Coproduct j k) |
newtype WrappedCategory k a b Source
Constructors
| WrapCategory | |
Fields
| |
Instances
| Category * k => Category * (WrappedCategory k) | |
| Category * k => Semigroupoid (WrappedCategory k) |